Oxford English and Spanish Dictionary, Synonyms, and Spanish to English Translator

Meaning of contradictorily in English:

‘‘They are and they aren't,’ he says, contradictorily.’

‘They also contend, somewhat contradictorily, that figures showing ever higher awards are based on sketchy and unreliable information.’
‘Expertise is needed, yet there is, contradictorily, a straightforwardness to the task of travelling at speed.’
‘The concept of the centered structure is contradictorily coherent.’
‘Of course he used them ambiguously, contradictorily and dialectically, but use them he did.’